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942440990436 = 223411249032
BaseRepresentation
bin11011011011011011101…
…11000100011011100100
310100002121022222210010000
431231231313010123210
5110420104343143221
62000541301101300
7125042365146351
oct15555567043344
93302538883100
10942440990436
11333761408100
121327996b7830
136ab444798ba
1433885c43628
15197ad484e26
hexdb6ddc46e4

942440990436 has 135 divisors (see below), whose sum is σ = 2708615903763. Its totient is φ = 285529931280.

The previous prime is 942440990399. The next prime is 942440990437. The reversal of 942440990436 is 634099044249.

It is a happy number.

The square root of 942440990436 is 970794.

It is a perfect power (a square), and thus also a powerful number.

942440990436 is a `hidden beast` number, since 94 + 24 + 409 + 90 + 43 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (942440990437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 192214761 + ... + 192219663.

Almost surely, 2942440990436 is an apocalyptic number.

942440990436 is the 970794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942440990436

942440990436 is an abundant number, since it is smaller than the sum of its proper divisors (1766174913327).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

942440990436 is an equidigital number, since it uses as much as digits as its factorization.

942440990436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 942440990436 in words is "nine hundred forty-two billion, four hundred forty million, nine hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 4903 6534 9801 9806 13068 14709 19602 19612 29418 39204 44127 53933 58836 88254 107866 132381 161799 176508 215732 264762 323598 397143 485397 529524 593263 647196 794286 970794 1186526 1456191 1588572 1779789 1941588 2373052 2912382 3559578 4368573 5339367 5824764 7119156 8737146 10678734 16018101 17474292 21357468 24039409 32036202 48054303 48078818 64072404 72118227 96108606 96157636 144236454 192217212 216354681 264433499 288472908 432709362 528866998 649064043 793300497 865418724 1057733996 1298128086 1586600994 1947192129 2379901491 2596256172 2908768489 3173201988 3894384258 4759802982 5817536978 7139704473 7788768516 8726305467 9519605964 11635073956 14279408946 17452610934 21419113419 26178916401 28558817892 34905221868 42838226838 52357832802 78536749203 85676453676 104715665604 157073498406 235610247609 314146996812 471220495218 942440990436